static void Main(string[] args)
{
try {
EllipticFunction ell = new EllipticFunction(0.1, 1.0); // parameter m = 0.1
// See Abramowitz and Stegun, table 17.1
Console.WriteLine( String.Format( "{0} {1}", ell.K(), ell.E()));
double phi = 20 * Math.Acos(-1.0) / 180.0;;
// See Abramowitz and Stegun, table 17.6 with
// alpha = asin(sqrt(m)) = 18.43 deg and phi = 20 deg
Console.WriteLine( String.Format("{0} {1}", ell.E(phi),
ell.E(Math.Sin(phi), Math.Cos(phi),
Math.Sqrt(1 - ell.k2 * Math.Sin(phi) * Math.Sin(phi))) ) );
// See Carlson 1995, Sec 3.
Console.WriteLine(String.Format("RF(1,2,0) = {0}", EllipticFunction.RF(1,2)));
Console.WriteLine(String.Format("RF(2,3,4) = {0}", EllipticFunction.RF(2,3,4)));
Console.WriteLine(String.Format("RC(0,1/4) = {0}", EllipticFunction.RC(0,0.25)));
Console.WriteLine(String.Format("RC(9/4,2) = {0}", EllipticFunction.RC(2.25,2)));
Console.WriteLine(String.Format("RC(1/4,-2) = {0}", EllipticFunction.RC(0.25,-2)));
Console.WriteLine(String.Format("RJ(0,1,2,3) = {0}", EllipticFunction.RJ(0,1,2,3)));
Console.WriteLine(String.Format("RJ(2,3,4,5) = {0}", EllipticFunction.RJ(2,3,4,5)));
Console.WriteLine(String.Format("RD(0,2,1) = {0}", EllipticFunction.RD(0,2,1)));
Console.WriteLine(String.Format("RD(2,3,4) = {0}", EllipticFunction.RD(2,3,4)));
Console.WriteLine(String.Format("RG(0,16,16) = {0}", EllipticFunction.RG(16,16)));
Console.WriteLine(String.Format("RG(2,3,4) = {0}", EllipticFunction.RG(2,3,4)));
Console.WriteLine(String.Format("RG(0,0.0796,4) = {0}", EllipticFunction.RG(0.0796, 4)));
}
catch (GeographicErr e) {
Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) );
}
}
private void OnSet(object sender, EventArgs e)
{
try
{
double k2 = Double.Parse(m_k2TextBox.Text);
double alpha2 = Double.Parse(m_alpha2TextBox.Text);
if (m_constructorComboBox.SelectedIndex == 0)
{
m_func = new EllipticFunction(k2, alpha2);
}
else
{
double kp2 = Double.Parse(m_kp2TextBox.Text);
double alphap2 = Double.Parse(m_alphap2TextBox.Text);
m_func = new EllipticFunction(k2, alpha2, kp2, alphap2);
}
m_KtextBox.Text = m_func.K().ToString();
m_EtextBox.Text = m_func.E().ToString();
m_DtextBox.Text = m_func.D().ToString();
m_KEtextBox.Text = m_func.KE().ToString();
m_PItextBox.Text = m_func.Pi().ToString();
m_GtextBox.Text = m_func.G().ToString();
m_HtextBox.Text = m_func.H().ToString();
}
catch (Exception xcpt)
{
MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error);
}
}
static void Main(string[] args)
{
try {
EllipticFunction ell = new EllipticFunction(0.1, 1.0); // parameter m = 0.1
// See Abramowitz and Stegun, table 17.1
Console.WriteLine(String.Format("{0} {1}", ell.K(), ell.E()));
double phi = 20 * Math.Acos(-1.0) / 180.0;;
// See Abramowitz and Stegun, table 17.6 with
// alpha = asin(sqrt(m)) = 18.43 deg and phi = 20 deg
Console.WriteLine(String.Format("{0} {1}", ell.E(phi),
ell.E(Math.Sin(phi), Math.Cos(phi),
Math.Sqrt(1 - ell.k2 * Math.Sin(phi) * Math.Sin(phi)))));
// See Carlson 1995, Sec 3.
Console.WriteLine(String.Format("RF(1,2,0) = {0}", EllipticFunction.RF(1, 2)));
Console.WriteLine(String.Format("RF(2,3,4) = {0}", EllipticFunction.RF(2, 3, 4)));
Console.WriteLine(String.Format("RC(0,1/4) = {0}", EllipticFunction.RC(0, 0.25)));
Console.WriteLine(String.Format("RC(9/4,2) = {0}", EllipticFunction.RC(2.25, 2)));
Console.WriteLine(String.Format("RC(1/4,-2) = {0}", EllipticFunction.RC(0.25, -2)));
Console.WriteLine(String.Format("RJ(0,1,2,3) = {0}", EllipticFunction.RJ(0, 1, 2, 3)));
Console.WriteLine(String.Format("RJ(2,3,4,5) = {0}", EllipticFunction.RJ(2, 3, 4, 5)));
Console.WriteLine(String.Format("RD(0,2,1) = {0}", EllipticFunction.RD(0, 2, 1)));
Console.WriteLine(String.Format("RD(2,3,4) = {0}", EllipticFunction.RD(2, 3, 4)));
Console.WriteLine(String.Format("RG(0,16,16) = {0}", EllipticFunction.RG(16, 16)));
Console.WriteLine(String.Format("RG(2,3,4) = {0}", EllipticFunction.RG(2, 3, 4)));
Console.WriteLine(String.Format("RG(0,0.0796,4) = {0}", EllipticFunction.RG(0.0796, 4)));
}
catch (GeographicErr e) {
Console.WriteLine(String.Format("Caught exception: {0}", e.Message));
}
}
private void Sigma(double u, double snu, double cnu, double dnu,
double v, double snv, double cnv, double dnv,
out double xi, out double eta)
{
// Lee 55.4 writing
// dnu^2 + dnv^2 - 1 = _mu * cnu^2 + _mv * cnv^2
var d = _mu * Sq(cnu) + _mv * Sq(cnv);
xi = _Eu.E(snu, cnu, dnu) - _mu * snu * cnu * dnu / d;
eta = v - _Ev.E(snv, cnv, dnv) + _mv * snv * cnv * dnv / d;
}
private void OnValidate(object sender, EventArgs e)
{
try
{
double phi = 0.8;
EllipticFunction f = new EllipticFunction(0.3, 0.4, 0.7, 0.6);
f.Reset(0.2, 0.3, 0.8, 0.7);
f = new EllipticFunction(0.3, 0.4);
f.Reset(0.2, 0.3);
double cn, sn, dn;
f.sncndn(0.3, out sn, out cn, out dn);
f.Delta(sn, cn);
f.D();
f.D(phi);
f.D(sn, cn, dn);
f.Pi();
f.Pi(phi);
f.Pi(sn, cn, dn);
f.KE();
f.K();
f.H();
f.H(phi);
f.H(sn, cn, dn);
f.G();
f.G(phi);
f.G(sn, cn, dn);
f.F(phi);
f.F(sn, cn, dn);
f.Einv(0.75);
f.Ed(60.0);
f.E();
f.E(phi);
f.E(sn, cn, dn);
double tau = 3.1415927 / 10.0;
f.deltaEinv(Math.Sin(tau), Math.Cos(tau));
f.deltaD(sn, cn, dn);
f.deltaE(sn, cn, dn);
f.deltaF(sn, cn, dn);
f.deltaG(sn, cn, dn);
f.deltaH(sn, cn, dn);
f.deltaPi(sn, cn, dn);
}
catch (Exception xcpt)
{
MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error);
}
MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information);
}
private void OnValidate(object sender, EventArgs e)
{
try
{
double phi = 0.8;
EllipticFunction f = new EllipticFunction(0.3, 0.4, 0.7, 0.6);
f.Reset(0.2, 0.3, 0.8, 0.7);
f = new EllipticFunction(0.3, 0.4);
f.Reset(0.2, 0.3);
double cn, sn, dn;
f.sncndn(0.3, out sn, out cn, out dn);
f.Delta(sn, cn);
f.D();
f.D(phi);
f.D(sn, cn, dn);
f.Pi();
f.Pi(phi);
f.Pi(sn, cn, dn);
f.KE();
f.K();
f.H();
f.H(phi);
f.H(sn, cn, dn);
f.G();
f.G(phi);
f.G(sn, cn, dn);
f.F(phi);
f.F(sn, cn, dn);
f.Einv(0.75);
f.Ed(60.0);
f.E();
f.E(phi);
f.E(sn, cn, dn);
double tau = 3.1415927 / 10.0;
f.deltaEinv(Math.Sin(tau), Math.Cos(tau));
f.deltaD(sn, cn, dn);
f.deltaE(sn, cn, dn);
f.deltaF(sn, cn, dn);
f.deltaG(sn, cn, dn);
f.deltaH(sn, cn, dn);
f.deltaPi(sn, cn, dn);
}
catch (Exception xcpt)
{
MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error);
}
MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information);
}